Atkin-Lehner |
2- 3+ 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200cg |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7050240 |
Modular degree for the optimal curve |
Δ |
-1.6657601160806E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 1 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11973008,16070488512] |
[a1,a2,a3,a4,a6] |
Generators |
[7840536:157286400:4913] |
Generators of the group modulo torsion |
j |
-2965880116461979081/26027501813760 |
j-invariant |
L |
5.0508575021632 |
L(r)(E,1)/r! |
Ω |
0.15040707141071 |
Real period |
R |
4.1976561846454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000225686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150bm1 24240bn1 |
Quadratic twists by: -4 5 |